Given that n is a positive prime number. Determine analytically all possible n such that 2ⁿ + n² is a prime number.

(In reply to needs a second attempt by elementofsurprize)

The fundamental tenets inclusive of the problem under reference
may not be satisfied for all odd numbers n.
For example, when n= 11; we obtain, 2^11 + 11^2 = 2169 which is divisible by 9.
It may also be noted that according to conditions of the problem, n is a positive prime number.

Posted by K Sengupta on 2007-01-06 14:52:11